{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import json\n",
    "import umap"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "with open('data/synset.txt') as f:\n",
    "    synset = f.readlines()\n",
    "synset = [x.strip() for x in synset] \n",
    "synset = [x.split(' ') for x in synset]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['n02119789', '1', 'kit_fox']"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "synset[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "with open('data/imagenet_2012_challenge_label_map_proto_edited.json') as f:\n",
    "    synset_target_mapping = json.load(f)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "# synset_target_mapping"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "target_synset_mapping = dict((v,k) for k,v in synset_target_mapping.items())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "# target_synset_mapping"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "imagenet_dict_by_synset = {}\n",
    "for c in synset:\n",
    "    imagenet_dict_by_synset[c[0]] = {\n",
    "        'synset': c[0],\n",
    "        'label': c[1],\n",
    "        'name': c[2].lower(),\n",
    "        'topChannels': {},\n",
    "        'embed': {},\n",
    "        'accs': [],\n",
    "        'topOneAccCount': 0\n",
    "    }\n",
    "for i, c in enumerate(synset_target_mapping):\n",
    "    imagenet_dict_by_synset[c]['target_class'] = i"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "# imagenet_dict_by_synset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "imagenet_dict_by_id = {}\n",
    "for c in imagenet_dict_by_synset:\n",
    "    imagenet_dict_by_id[imagenet_dict_by_synset[c]['label']] = imagenet_dict_by_synset[c]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'synset': 'n02119789',\n",
       " 'label': '1',\n",
       " 'name': 'kit_fox',\n",
       " 'topChannels': {},\n",
       " 'embed': {},\n",
       " 'accs': [],\n",
       " 'topOneAccCount': 0,\n",
       " 'target_class': 278}"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "imagenet_dict_by_id['1']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "# num_of_classes = 1000\n",
    "layers = [\n",
    "    'mixed3a',\n",
    "    'mixed3b',\n",
    "    'mixed4a',\n",
    "    'mixed4b',\n",
    "    'mixed4c',\n",
    "    'mixed4d',\n",
    "    'mixed4e',\n",
    "    'mixed5a',\n",
    "    'mixed5b'\n",
    "]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "A_prob_threshold = 0.01"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "mixed3a\n",
      "mixed3b\n",
      "mixed4a\n",
      "mixed4b\n",
      "mixed4c\n",
      "mixed4d\n",
      "mixed4e\n",
      "mixed5a\n",
      "mixed5b\n"
     ]
    }
   ],
   "source": [
    "for layer in layers:\n",
    "    print(layer)\n",
    "    \n",
    "    for c in imagenet_dict_by_id:\n",
    "        imagenet_dict_by_id[c]['topChannels'][layer] = []\n",
    "    \n",
    "    A = np.loadtxt('data/A-matrices/' + 'A-' + str(A_prob_threshold) + '-' + layer + '.csv', delimiter=',', dtype=int)\n",
    "    \n",
    "    for c in range(A.shape[0]):\n",
    "        for ch in range(A.shape[1]):\n",
    "#             if A[c][ch] != 0:\n",
    "            if A[int(imagenet_dict_by_id[str(c+1)]['target_class'])][ch] != 0:\n",
    "                imagenet_dict_by_id[str(c+1)]['topChannels'][layer].append(\n",
    "                    {\n",
    "                      'c': int(ch),\n",
    "                      'i': int(A[int(imagenet_dict_by_id[str(c+1)]['target_class'])][ch])\n",
    "                    }\n",
    "                )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "mixed3a\n",
      "mixed3b\n",
      "mixed4a\n",
      "mixed4b\n",
      "mixed4c\n",
      "mixed4d\n",
      "mixed4e\n",
      "mixed5a\n",
      "mixed5b\n"
     ]
    }
   ],
   "source": [
    "for layer in layers:\n",
    "    print(layer)\n",
    "    \n",
    "    for c in imagenet_dict_by_id:\n",
    "        unsorted_channels = imagenet_dict_by_id[c]['topChannels'][layer]\n",
    "        sorted_channels = sorted(unsorted_channels, key=lambda k: k['i'], reverse=True)\n",
    "        imagenet_dict_by_id[c]['topChannels'][layer] = sorted_channels"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "mixed3a\n",
      "(1000, 2)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "mixed3b\n",
      "(1000, 2)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "mixed4a\n",
      "(1000, 2)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "mixed4b\n",
      "(1000, 2)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "mixed4c\n",
      "(1000, 2)\n"
     ]
    },
    {
     "data": {
      "image/png": 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21uRSFnbGmBvAiwBaAJwD8BvG2M855/5U951tJpcUw8UUH6PH7cJjd82h2uuEo+nwB7F1X7fh/cuDN9TZq5kr8rvvHVdrpXAobefkErgTtebb2gNqqGAg2IV7F8xQm2bYaWB1+IP4hRS1IrPh7gbNmPVuFqtGHWYun0xhh8V+J4AuzvknAMAYewvA/QDyWtg7/EG8tLNLvVgjnMdtoUUQ+YxVb1AXA6rLJ6nWrJkr8mK/sfaKiOkGEPOhEItt/oua1x+dvZIWS3h3Z8i0yBeDEv4oo49t3xkIoa09kFO9U+2Ikq8FcFZ6fS76Xl7znff8mmptYxGOrfu68ey7xzT1JwjCKZiWv4VSKVGuxWJmKXuKzNPnj/Vc1dRnSbZvwT2+6ZrXwf4bAKAW9bILq1pQHDCMt8XnRdP0cs02L+7oymr9dT12CLtZFXrDw48x9jhj7ABj7EAolNsNKTr8QZztNZbo3d15Ga992G0oLkQQTqC5sQb6nhKVZeOJO5seXIRHPlNvsLg7/EFcGx4z3WdocERTnyVZ98nG1iYsqK1QX49FeFoa2ojfqMfjdpmOt7p8kuG9zTu7ckYX7BD2cwDqpNe3ADiv34hz/jLnfCnnfGlNTe4sPHb4gwYr3GpaNqZLhCAIJ9Hi82L93Q1wu8bVvffaKHYEQnhqyyEA5pby7s6QaXq9niZv+YTChJ9ec1vM2UIimN3nqVDqMXqxw9xo3WcLO3zsvwHQyBibDaAHwJcBrLVhv2lnw5ZD+MXRC+AY72ZeXe7B5cHYMbsUFUM4lY2tTVhYV6lJvQcUf7lViK/e56wvjAUoKffPtN4+IfdJvAiTeAuz8tqBlY/fN3MKdgSMoix+NwD1O46c7dOUB5DJlS5qKQs753yMMfbnANqhhDu+wjk/nvLI0syGLYc0Jycc4epr2WIRr8MRDo/bhRUNN1OdGMLRiGv7qS2HVLG2ckmI7Vc03KwKIwdQX1WKM71D4FDuH7mwVjySiaBJRLTltQP9wq+IAjp5ccB0/6XFbkwuKdZ8R6nHfD0BsHbpZBpb4tg55+8DeN+OfWWCDn/Q8okLGNOU5cw2YHy6ReJOOJUWnxcvPrRYjWqxMmaECPtmTlETdzxuF+bUlOO+O2qTDg82E2rAOqomlmgLrJKFOvxBPPnGQdXFqqfJW45nWm83fEdpce63sSjIzNNE/GCt82egutyjuSgTsQ4IwgkIwY41O5XvB2EA+c9fxZ6uT7EjEMLeT3qTvkfMhFr8W37PrByvlYvUypWzdV+3paiXFrs1riP5Ox5cVm8owwsoLiiz8gLZoCCFXV+b2YyhkTE8f/9izXuJWAcEke8kasDo74eB4VHUVd2EkfC4GCd7j1gJtZV4J5rhqU8W6vAHcTKodb+4ADy5usEwyxDfIWYvC+sqsaC2wpClumF1Q87oQV4Ju5wVJ56MZifUykcnv6+vzZwI2a7/QBCZIFEDRr9QeHlwBEMjY2oRrYncI1ZCHUu8E8nwlO99AIZELMaAeTMrYiYhClfT3k96sW7lbAQuDmIkHIGLKbH+uZSgxDg3n4qkk6VLl/IDBw7E31BC7w9jUDqHiwtIWBUd/qC66ONxuzQpzfK0cdODi3DkbJ/llOrlR8zrT+dbdxmCSBaze8XsWn/23WN47cPx8gNiXSrXggz0v2f5nCpNBExtZQlCAyMGLZHR/9ZHPlOP5saajGsBY+wg53xpvO3yxmLX+8M4xusmy1aFvqO4sPATzX4TT99EpnQk8oQT0VvNgCJs+utcnsHKDS9GwhHUVd2UM/eEfgYCQFNvZmrZJPT0DaufJ7oAm81aMPHIG2GPRawp30fn+rCn61NNGU4XgOPn+xG4qPWRLaitwNNrbkvoZMkzg7f2n1VnBrkCPXSIVBCiFcvfLj8A5H4FZvdjNq9HvcvIN3MK1i6rV8f9w12n1M+swjr1fvZcJ2+Efe2yeuw6GdLUb1lSPxXzZlZoLpa1y+o1Qt57zVjWMwJoWlsJFs2amvBFZzYzyBUBzfWHDpE/xPO3y1brwrpKy7WtTEeTyQ8SfWnfgeFRddyPvrpf4wloml4ec2yynz2Xo+LyRthbfF788CtL8d33/Lg8OIxVTV784KHFpts9dtccU995LNwMmvjWeNbF5cEbMV9nk03bT+bsQ4fIL/RZ2LL1q1+Q1N8z4vOzvdczGk0mP0hERrlVqV/9fXt1yLzmDZBfUXF5I+xA4vWNJ1J8f/3dDQCAR1/dr1r8eutCvpD1RYC4aS20zLNhyyHTZgEEkSwd/iDaj2kT+d7c342FdZU4crZPbTbx1n6luOtIOIIte7ux/u4GLKyrVMXV43alFCmTyDjlh4q+J+ovj14wDWMEjPftud7rpo0zRGHAdP4OO8krYU+UWLVeGIBZVaU4d2UIYa6EOX1+/gz4z1/Fj379icYXPzQaxgvtJ3DkbJ+aeCEEf93K2djdeVmdxp28OIAOfxBHzvZlrBO5nrb2gGlGba4kTRD5xe7OkKa/J6C4Np94XYloEx4M+Z4Jc+ClnV1YdVuNpjn06qYa1FXdpAqr2ax4In54vZtn3crZOHSmT7NNBEqq/6uP3qn5nsklxYZSApHo77ZyJXncLqy2sTtUunCEsOunhO3HtcX5q8qKVV87B7CqaZoaqiQv+pgRCA4iENS6dYZGw9jmv4jayhJ09w4BUC7er/3zEfRHy5eKv8mUuHf4g/jx7lOG98snuXP6AiRyF6tEPn2ypgvKfcWlzy8P3tC4P2QhlIVy674z8FZMwh11U7HjxKWk/fB690g8F6xVH2OBmSUuf0euRfxYkftFD+IgTpSok751X7cadgUovvMH7zQ2CWjxefH8/fM1PRQFHrcLtZUlMb83EBxURV3Qr6tJ/c7hc6n8tIQRi6U3xow5CbOryzIyBsJ5iEgQuR46oIQEe9yKdLhdDE+ubsB83TbV5ZPU+u3K7DaklsyVhXIswtHTN4z3j15IKBxZX363ubFGHYsVHrdLk9Ao90wV9f6EJW72QGlurEm5bHCmyXuLXf/E/iR0TfWDuZjiOxelSM2mebJVIidWAMbstKJorG6iKV1VZR7bfmcs5AgdPU+vuS0jYyCciVjXamsP4J3D51BV5lGvKfl+WlhXqSYQFrmYxkLXR2jFK+lhJZ5W0TVN08vNm1ADhqba+hLDgJKg9MVFt1jOrhMtW5BL5L2wNzfWYOu+M6qvu7v3uvoUlhXYauE11kmTY3QHhkdxtve6ac1ms/rTQPZF9d4FM/LiIiRyn42tTdjY2qRxez5//3wAxgbYLja+IGkWFvzqo3di04OLsGn7SY0g37tAW3gv1qKobNUHLhrLgjAotVv0Yq0vMRzhQE/fMF754HTMcgK5nIxkRt4Le4vPi4rSIk28utqAGsDmXacm3ITarHCQiGN1u5imMYd+0fKpaEGgTCRmKMkWlzXxuPcumGEaDkoQySIvNor1KLOSuoKRcASbtp/E7s4QQrpAhv2nezWNn2Ur/0uLamNWUjXL/tzdGdJY38LIKna7DE2oBWuX1av3sSDXwxeTJe+FHQBqK0tNE5EAJdwp1glLJnkilnWvn6rGy9qzkxafF82N1ZrZxNDImGkaOEEkg2axUSobYFZSV+ZoTz+O9vTD43ahyMVUo+PayPgC58DwqPr+mO4+NbPOn79/vun9Z1XWwOq+b/F5sW7lbLy0o0tt6RerkUg+4ghhf3rNbXj8tQOm7hA58UhPhz9oWkMmlhBaTcnEVFUmkwkN+tZeOwNK31aqG09MhA1bDuHfu0KYUurRxITLDWj0JXXNXJIi1PHwmSvok5J/tuz9HR5afqtl4pBVJVX9/RevrIHVjHlgeFTTp3VFw82OukccIewtPi82rG4wDXVqnW/uZ5YtEYHdK96ZLPOrT8oSN5jTpphE+lnztztxKnQNANA3NGbZTUxfUvfwmSuGRUwR6uibOUVzf/YNjeGVD06b7g9IbsHSqqwBYN15SX9vOi3XwxHCDigW83sf9RhCEHecuIS29oDh4pGtacG6lbNtFcBMrqZPLinWTEX1nxFEIrS1B1RRF5QUu/DAkjrLa1guGCYiYIpcDM2N1WpEivi7LXt/p1ruojmH8JWLfen3K0hkvUr+m2ffPWY5Y87HSJdkcIywA8C375tn6GEoJy3IT+3mxhps2XdGI4QTKUUQj3SvpouIhD1dnyIc4YZkESA9v4twJtv8Fw3v3T5jihoBE4sWn9In1UosRdixXBtd3yjaym04kfWqeDPmfIt0SYa8T1CSafF58dLDS7C6yTxpQZ/48HszKtQDkC+JBzLCQtoRGI8MiACYX1sBdzTmMx9/F5E95k6bbHhv3swKky3NEYl/8QIQHvlMPTY9uEiTIBgrMckq1DHeWOTvcqqIm+Eoix3QTgv1re/EQqq+9kMudXtJBrPEJDcD7rptGp5ec5tjp5lE+qgu1ybVuRhw1qIw1kTRW8pWVrXsepnoepWTrfJYOMpil2nxefFM6+1qKrDbxdQKjnIkTL7UftDT4Q8aChgByiLXKx+cBoCYlhNBmCGnzwt2BEJ4+s3Dahq/3SyfU2VI59eXCgEwIetbX4KgUHCcxS6jXyABjMkU+eiqMIvokaFIGGKiiBjvzbtOIRzharJfOq6ptvaAWvpXH5mid71s3detqQ6ZCNlo8JErONZiF8g+P30kTGVpke2RMBMlGctC/zv0leDz8WFF5A4Dw6OG6Cq7r6kOf1B5eOgeHAJ55uBxu7Cn61PVek/U+p6IX94pOF7YZfTTzL6hMfzo159kfZomTzvXv3EQbe2BmNvrK9q5XQyrm2rw1OqGglwoIuxFL6pWVQ9TYXdnyFCFVX5wyAufKxpuNjSuT/Z3FJqx42hXjJ4WnxczK0s0cbq50DpO3/FFhGfGqjYnFzIai3DUVd2U8cYehDPJRIy3vBjqdjGsXzXX8D1yIISo7ZLswqmTY9VjUVDCvmHLIUPyRS5gFlO/eWdXzOJlciEju6yRbHaSJ3IDs+qN6eDI2T5UlRWjqqxMra0Ui+VzqgAg6eg1OSFRfu10CsoVsytwyfCeqB2dTVp8XqxfNVfzXpgj5pTT7hhdfRRCtt1TRObJ1DWwYcshvLijCz19wzja048jZ/sst5VzNfZ0fZr0d7W1B7D+jYMFd10XjLB3+IOGKJKacg9eenhJTjzFF9ZVosg1vgyaSLU5sTAMKE24H311/4Qv3EJeaCIUMnENbNhyyFDi+p/2nLa8bs3quQOJBRt0+INK1I1JRUqnUzDCvrszpOnVWFPuwW++3ZITog4o45NLISRabU62aHYEQnhqy6EJiXshLzQRCpNLilVBSEcZW6tm69dGwklZ04nOLPTNuN0uVjDXteOFXTzZJ5cUayJJrg6NYcOWQ2j9/q64USiZQC+ssdxDsrWibzQg6lAni+za0feoJJxPhz+IH/36E7WUbYQn2gAy8f3/057Tlp9bWdO+mVM0fUmVpjKJzSz0xe9a503PGUMu3Th68VROUCgtdmt6I46EI6r1EAjGjkLJBImu4OuTLtatnK32eAWUFPCJVnMU36nvUVkoN0MhozcQ9I0vUiFeQh1gPkvs8AfxygenEeFKOORjd81Bi89r8MlbXe/64nf6cglOxtEWu/7JXl0+yZAuLTCrapdp4hVQAoy/aWB4FC8+tBgLapWCZpFoSYGJWttWPk3CmXT4g3j01f04dKYv6TWeRDErkS1TWVpkGgCgCQPm40KtF2yr6qWF7F50tLCbuTeEu+HeBTM0297jm56NISaN2cXa4vNi0ayp6jRapGCnq0ZGodbfcBry+syxnqsIRzjqq0qxuqnG1pmafM269WnSAB5afqvpd+ktcfE6EcEWbsp1K2cXZNKeo10xVu4N8f+29gC2+S/iHt/0vEnusfpNcsKHSMEeCYewZd8ZrF81N+Hft3ZZffRvI6pPU6aQ6284Db37hQM42zuEb983z7ZzKgusaKpx5Gwf3tyvzAQfvLPe8tq0sszNakDJ/X31LthCvEZTEnbGWBuAPwQwAuAUgEc559ZBqVkgVtlOsz6l+YDZb5Iv9rO919Ws1HCE46UdsZOd9PuJ1Swhk31cifRyeXDE8F4ESItvXbTVE6697z1wR9w+UQwUAAAdOklEQVTvkLuC6S1zOStVb2jQNZq6xd4B4Buc8zHG2PcAfAPAX6U+LGIiyBf7rpPj4Z0RAM+9e0zdJtH9mJHJPq5Eejl1yVj2GbCvlaJeYF/a2aVek7s7L+OJVXNN+50C4wunIgbdN7PC9Jo0E3G6RlMUds75r6SXewH8cWrDIeygxeeFb+YUHOu5qr7Xc3UYT205hBUNN8M3cwoGhkcxuaTY8saKte9Crb/hNO7xTVcjwmTsaqWoqQcTbYgtGIvOJCOAqUtPv+B6sPsK/vB/7TaUHzATcbpGAcZtildljP0rgJ9wzt+w+PxxAI8DwKxZs5Z0d2c/2sLJtVHkxsLxSNYP6eTjVmi0tQfw5v5uXLk2Co7krwUzxPUxuaQY/vOKceGbOUVjset55DP1mto0Hf4gHnvtgGE7s/EV0vXIGDvIOV8ad7t4ws4Y2wbALGTkW5zzd6PbfAvAUgB/xBN4UixdupQfOGA8aZlETm0WFwsAR10gcqPreAK/uqkGrz56p+nfA+PFl2hhypnYJY5mMeviOjlytk+10otcDC7GMBKOWF5Hq/7nv6G7d8jwHfqHQCGRqLDHdcVwzu+J80V/CuA+AGsSEfVcQJ/aLMIDRbVEp0R7yD73eAK/u/Oy2teywx/Epu0ncaynH1z6vLmxGgAKfmHKidjVG9QsZl3cX68+eicW1lVqolliPUzuu6NWLWEtmKjPvJCseiD1qJjPQVksXcU5v27PkNLPO4fPmb7vVMGSBX53ZwiXB0cMNTtEpuGRs32Gm0l8viMQgsftUjNdC3VhKtvkqki1tQew/eMgilxMU/cIAPZ0faoaDvKYY41f7+tv8pbjmdbbk/7NhRiim2pUzP8GMAlAB2MMAPZyztenPKo0smHLIfT0DWveu3fBDHxpUa3t9c1zDfmmamsPqNNiQMk0nFxSbCrqMiPhCFY31STdf5KwB7tEyk7Xi5mxsKC2AleHxnCmV7H3RA2jWKUyYuVmlBa7JyTqQGGG6Nq2eJoM6faxm10kHf4gvvvecYPPbkFtBf71L5ot/y7d48omeh/6pu0n1Vo6elxMKVcg+0Pl3wPA4I8n7OfZd4/htQ/HAw+SecjKi5o/+vUnahLaRLNM5YcMAyArSZnHhRtjXLXci1wMzY3VakSW/t60Wrex455x0rqQbYun6SCdwm52EgHgidcPGFbkGYCXH1ma1pMs30yvfHA6py+uxd/5FXqvGUPdRHKJfEPKx9njdiHCx2/iVMRCYLZwS8Bw3AHEXIA0+zu9CJstnCeC/iETC2EYCOTx6vcjFkftEnVx/yUb2puL2LZ4mm/op10vtJ9A77UR0zCruqqb0i7qIuRQvrBzZTqot7j7rhtFvczjwt9/OXaBJv2CbLxpdyLjevKNg+qDYkcghHsXzMAPHlo8of05CasMY7l8rTinbx/uwa7AJdxcPglza8rU82WXKdfcWIOt+85o/OmTihhujGm/QR/Drh/v2d7rhnWbVF1O+oCBXDWm0oXjhF32ywFAIDhouh0D8Nf3+dI6FrlSYoQrFdciyI1Kc/KNs2XfGdRWlpo+/P5sxRwA2locgHKc39p/Vn1ocT4uGKlWBty6r9uw+Pb+0Qtoaw/kZQkIu5EXw+V1ocklxaoh8fqH3er5uNZ7XfV163EBE24N2eLzwjt5Enqujq9ZVZdNQnDghub8LZw1FUfPXdUYAEUuhsNnrqjXkMftwuqmGnV29uy7xybkF7eKAMsVYypTOK66o7BomrzlMbfbsLohbX50q8qHvtopOVNpTlMSNcJNb3xRiC9et5pIVNRdDJhfOyVtNdxF4ShCQVzr4prynx8Xz0St8qoUa5R/cfEthtfeyZM07w0Oj2JFw82a9yKc42hPv6ZEtDyDNqvgGK+qqDBWdgRChllkLhhTmcRxFjtgbBghU+5x4/smrgU7kK3gt/afxfQpJZrPg1eHcdbCcso0zY01GqvODA6lTr1sOW3d140Wn9dQGRBQBL6m3JPysfXNnKK6GIjYyJFO8WrnixmjzOXBETy15ZDlwzien1vMoPRVUuXoquIiN3wzp6izCzPXjFmRL30Fx3iuGau67zXlHsyvnWJ5XJyIo4RdXITHz/fj1KUBTCktRmjwhvq5C0ibqANGv7PeCg4N3lC7rWe7M1GLz4uySW4M3rBugOBxuzB32mScvDQIscYu4pH1Li+BHK+s9+EnuhBmVatk+ZzqJH6h89GLbqwHosftwmN3zYH//FVNgThAuVZfaD8BQBtXnqifW66S2uEPYmB4FPcumIGPzlxBcOAGjvVcxccX+tE6bzqqyz2aQAKP24UVDTebLpDLDy29a8ZsvFbFy0KDI9gRCGHvJ705MVvOBI4Rdv2Cm8KYah24XQzrV81N60lNtCpeqouLdjG7ukwT3jipiGHN703H0MgYAMVy/uGuU+A6EdjdGcLz98/HupWzsXnXKbUCn/w5AM3sRXwmC4SVNSj772Um2tqsrT2Adw6dw9TySfjqmsasH3c7MGuRaOWqWlBboSmepc9hAJS1qKffPKwRvmTiv4Vve3fnZYxFuCrYwv8ejnD88ugF/PARJaBj+ZwqAIlHPJmtnYnxirHGmw0Xkp/dMcL+3ff8hgU3ACgpduGBJXUZCXNKtCpeOjrAJ4MQ1LqqMk3ZgBtjHDtOXFJv7kdf3W96TMUDbGB4VCPqwPhvs4qakaMhrKzBFp8XKxpuNlifEykn29YeUN0CPVeH8eQbB/HSw0vy/ubeuq9bI7r6ByygrHk8eXeDYcF5Y2sTFtZVYuu+bpwMDqgJe8LVJsIDzaJVzDCrDzMSjuCjc31g0YV1QHEDbdp+El2XrqkLvoku3ArXzAvtJ9SACH0pEDkr2iz71e1iBeNnd4Swd/iD6LZ4Wq9q8masYFBzY41lXG+xi6FpRgVqyj1Zjcs2uwnluGbZqrksubFkRMW+5sYabNnbrfGXrmi4Wf1tckcnABqB0FuDm7afxHPvHlOt6rXL6rErENJYlf7zV5OObdb3srWzSXO2aGsPYJf00HMBBlEHlBmXVRSRHFkjx8WLzlsCfbSK2fG38m2b5UT0XhsxrNkkej7F52K8RS6G/ad7NQaESNiaXFKMH+zo0qwhTb3Jnjrz+YAjomKEBahnSf3UjMY+t/i8hl6qgh88vATv/cVKvPronVkVFbObkGO8F6VsmVWXT4IZQvBbfF6sv7sB7mgTZNkCkyM2XnxoMV58aLEmIkhvfR/t6UfP1WEc67mKJ984CEDJM5A51tOP9W8cjBmho0ffy5ZBsfzb2gNo/f4utLUH4u4jVxCNp1/aqXWjzKutMG3SPit6/GJFk8jnaUXDzaY5CSJaRTwE9Me/ubFGfXjH4466qepYxYNEv79ExrugtgJjEY5rI9oqkmuXKclNA8OjhsAAsVBcCL16HWGxm0V4zK0pw8+e/P2Mj+UHDy3GAy/9Ow52X1Hfu3fBjJyxEM3aoZlllgJAqcf88vj4woC6QCqm9WZWV6yCT7HcVsKqrijVfr+8EJ6ov1RYrG/u68aV68rNLtcFF40mcj0+3mymBSgP5KfX3Ia3D/fgV8cvYEzS5V8eU2L/xULllr3dWG/imhHnqa09gF+fDGlmYPKD3srnbuU6M2NoZAzL51Th8uAN9F4b0biB4rno5PGKxVOZdStnq9taue1yZX0r3TjCYm/xefHyI0tRU+5BkUux1Ld/7e6sjednT/4+nlrdgCZvOZ5a3ZAzGZMd/iDaj2mrOjZ5y7HpwUXY2NqE5++fr1lg01eAFAjhFfvUNxU2s4j0Vpgcp1zk0rauL4r6Qq1mDILj5/vjxjYDimjfUVepPvj1Xgurap+5hJW7wzezAm8f7sH7R7WiDii/Uw5XDXNg865TlufnlQ9Oq4EG9y6YYci5MIstHx9HYuGEuzsvY0cgpMzQpGJ8Vi46qxBO/UwM0BoLwl2ox8VQEH52R1jsgLA6WrI9DJVcbJS9u1NrjbldzLJint43LSMWSPVx+6JezFv7z2rCOa3C5uQ45SNn+0wjV0SUhRkHu6+oNYBSqXQY7L+hzkByFau8g6M9/ZaF2zxuF+7xTUfXpS71vIct1hj0CWvV5R7D2pT+nCU6A5MxO5eVpUV4aPmtaPF58fbhHs1ncviszMbWJpy+fE3TLEcIdoc/iJ0mswcXlMXkXD7PduEYYSfio+9BGSv806ofJgA8dtccQ9q37JsdCUfw3M/Hm2frIzjkKbwcCWP2IHQxfckqLYnW31m7rN6y0chYhGvGm4u0+Lz4/IIZlrMomfqqUsypKdcs0ouoGavolkQbQOvda2Z/X+RiiEQ4IoCh4JgZfUNj+NGvP9EItcDMdSJmiV9aVIvZ1WVqcpS8mKv/To+b4cWH8j8aKlEcV92RiE0yUSWiH6Y+ukFUA5QtcbOsxtJiN1bfPg2/PHZBFeBkKj8mUz0wkSJPHf4gnvv5MUM9foFVeGAuIbd0FLgZ0Dp/Bk5dGtBkf8okct5TraZolpB2+MwVw4xiQW0F7rptGt45fE5zLso8bs1iqEAuAGdV3VJOdAKM1VydUkSuYMv2EkZSuWHNxHVBbQUWzZqquYHlGt+xSKZErNWCYbGbYVTyKSXTWUeuuCnHWAvcDNj8lfSWck4Fs/OxpH5qVgIFEkHOIxC4XQybH16Crfu6NQuu5ZOKMHhjzLCPJm852v/rKgDxH/Zyqe7vvncclwdHsKppmiNEHUhc2B2xeEpYYxWilij6UDYXAwIXB9X9AcDz98/HxtYmvPjQYqxuGt/erV0ThdvFkqokKHy68j5Li914/K65mkW8ZDrrtPi8aujlhrsbDGF6YW4ePisWadvaAwkvECeK1d+Zvd/cWGO4aY+cuTLhEL6JjjlRzBYxhZ9fv+A6eGMMRS6G8kna0E15oVRewNVdXgC0LrldX/8sjj//OceIejKQj93hpNoWTAjh1n3dliFqsp9cTmKRa4IAQOu86Ulbwvp9ilmHVYhlMvsEgIV1ldi0/SSO9/RbllQ2mzkIq7GytAjeihLMnTYZO05csgzTs+rqJafhy4vOseq0uKI+bIF4GCV7HLLZC1Q0vtAzFuH4o8W3YHJJMd45fA5VZR4srKvUbNMwrQzHz/eblpkutCqOVpCwOxx93PpE0vL1GX8Cq5tIv8AmFu52nLikiXBIxkVkFhNvhwhZPThkrEINAWXhr29oUFP3X9/0Qn7Aiaqfvddu4NqNsGaRbyQc0VTPNHsg7+4MGSJLJipmVovadmK1aC0WPEuL3ZbX1CsfnEZP37CmJoyZaw5AzGJihQgJu4Pp8AfRflwbtphoWJoevbjVVpbguS/Mj3sTyfVkZPHItc7xsR4UVpUs9YgIENH0Qvw+uUytWdVPmVD0QWwVpSK/n4qYKQ+yy+rrdNUvavF58dhdc0yLjp3pPY3Vt0/DqUsDmDttMqrLPeqD1azRhvi3Hn2RM4KE3dFs2n5SU0PEnUJyhr7iYmjAmMFq9XdmApVPnePl+O3j5/s1WcUyn18wQxUnTVx4NOnHrJ6LnpMXx7N6162crQnlE7MKsyzhZNF3qbpt+uS0Hf+B4VFDxBSgnPf2YxcQ5sCZ3iFN1U+rAmRmD9hFs6bm7LWTLUjYHUpbe0ATZsYArE8hOUOfNm5Vw9vs78ySWhKNm84VZIu+rT2Al3edwmiEqz52szBD+fetvn0afnn0gqnAychlj4X75kzvac1rUQJCbKc//lYNnPXhiDI1KXZSioV+liES2VzSTMaspIC+ABkAbHpwkaGXaa5fO9mAwh0dyu3f/gWGpRzzqrJiHPrrP0hpn2aLiBNpEiwLj4iacKJvVBbS3Z2hmGF6otm5OJ767Zu85Ro/vnDv6Ov8AOZrIetWzlbDUUXTDfHaBeDJ1emN35fPuRwWK9xXRS6GipIigDH0XhufDYpqjfrZSaox9/kKxbEXME3fft/QKX5BbQX+9S+aU953hz+oqYkNKA+NO26pjCnOZpEy+nK+2fazpxP5oSiE9r2PetQ46y8tqtUIldn24rjp3Tqyb3/5nCrTYly1lSWaZKDVTTXwzZyiyUi1w8UTj2SSzgrp+kiURIWdXDEOY/nfbDOIOqBUALQDcWPJ/WR7r41qWv4BsBQpWZQKqYu8mUvKrMpirO1FiKc+jFSupQ/ANNKkqsxjyLjVL2wLkU/nYrZZDX8zmrzlmFlZqj6knH592A0Ju8O42G9sjrGk3t7FJb2/XSDC9URHGyEQ+gJTwo1g1oDDySQbohkrxHNhXaVh5iQSwNYuqzf42AGorSOLpEQxuXaQLPIbf3oEDy2/1Vb3TFt7ANv8F7Fw1lQcPnNFjUMXbigBAzCzslTTALsQrg87IWF3GNMrJmnEfVIRS0u6uVV88kfn+gxlV9cuq9csJOp9woXoK00VfW6Bvqib2YKqKKim/F87K9D7vvuGxtRSAHaIu760wJL6qYpPHcq19PbhHvzi6AVwKDMQ0Xw6E+4hJ0LC7jD2fvMeLP+bbbjYfwPTKyZh7zfvScv3iIxUfVEtfcGwPV2fYu2yestyr2JfRPJYRRyZsbszpIq2XDGxxedVSiYfPoexiDFmZ5v/oi3C/s4hbc37g91X8KNHxmvymFVkHBoNw3/+asK1hYhxSNgdSLrEXI9VRqqMEBG5iQdhH4m6d6zCS82KdMmYNbSYCFPLJ6HnqtbHL/vMrZLAdp0M5Xyt/FyEioARKSESaWJx+MyVmMWziPQjrHt9V6Q39xsjVIpcDLVTSvCUjSGQX13TqCkKp890tbqOIhz4h+2dtoyhkCCLnUiZeGUK5C4/+u5KRObQW/dt7QGD6wwAnlg11/aY9hafF5u/slRtdWcWGmvVzq4rOGDrWAoBEnYiZRKtpQJoC10R2cWq1+tE6wnFY6KF28x8/0RsyBVDpIw8zX9qdQOqytKXnk7YQ4c/iKBJaKxoJJ4N1i6rN9THB4CpN9H1lCxksRO2oI+xFjHTZiTTbINID/ryv0Uu4PYZU7DqthrLGjTpxirSan7tlBh/RZhBFjthOy0+L156eAmavOXZHgphgdyJqLTYjZceXoqvrmnEKx+cnnC3rYmg7+DU4vPiuS/MVy13j9tFhsAEsEXYGWPPMMY4Y6zajv0R+U+Lz4tnWm+Hy6R/2abtJzM/IEKDWZSMvpTyC+0n0iruVm0bheX+yGfqaaF9gqQs7IyxOgAtAM6kPhzCSbT4vHjy7gZDb8qjPf1oaw9kZUzEOC0+rya/QLbiAaUZxvo3DqbtXJnV5LcaG5Ecdljs3wfwdcCQOEYQ2NjahJcfWYoyj7ZB8Tb/RYu/ILKFsOJlF1o4wrF5Z1daLHe9O4hqwdhHSsLOGPsCgB7O+Uc2jYdwIC0+L/5shTb5xK6MRsJehAvNLfnQwhxq/Lnd32WWNEWkTtyoGMbYNgBmd+G3AHwTQELdGxhjjwN4HABmzZqVxBAJJyASXkSrt3Q2dSBSo8XnxfpVczV9Svd0fWprar/cKOP5++fbsk9inAk32mCMLQCwHYDozHsLgPMA7uScx5xnU6MNgsh9Hn11v6Y08yOfqbdFhPVNRMhaT5xEG21M2BXDOT/KOZ/GOb+Vc34rgHMAFscTdYIg8oO1y+rT4gOPtWhK2AMlKBEEYUoyZYETpcMfxNne6/C4XQXTYCUb2CbsUaudIAgHMdH6Lno2bDmE7R9fVNs2etwurG6qcWQT81yALHaCINLKhi2H8P7RC5r3RsIR1FXdRKKeJqikAEEQaaX92AXDe+4sFhsrBEjYCYJICx3+IP7Dc+0ImwTeyf1ZCfshVwxBELbT4Q9aVviUe50S6YEsdoIgbGfrvm5TUa8oKSJRzwAk7ARBZIwl9VOzPYSCgISdIAjbWbusHkW6ms1FLka11TME+dgJgrAd0Wxl675uhAZHUFPuoZj1DELCThBEWrAruYlIHnLFEARBOAwSdoIgCIdBwk4QBOEwSNgJgiAcBgk7QRCEwyBhJwiCcBgTbo2X0pcyFgIwke641QAu2zwcu8n1MdL4UifXx5jr4wNyf4y5Or56znncsphZEfaJwhg7kEi/v2yS62Ok8aVOro8x18cH5P4Yc3188SBXDEEQhMMgYScIgnAY+SbsL2d7AAmQ62Ok8aVOro8x18cH5P4Yc318MckrHztBEAQRn3yz2AmCIIg45JywM8b+M2PsOGMswhhbKr3fwhg7yBg7Gv3/Zy3+/jnGWA9j7Ej0v3szNcboZ99gjHUxxgKMsVaLv5/NGNvHGOtkjP2EMeaxe4zSd/1EOha/Y4wdsdjud9Fje4QxdiBd4zH53oTOF2Psc9Fj2sUY+2+ZGl/0u9sYYycYY79ljL3NGKu02C6jxzDeMWGMTYqe/67o9XZrusckfXcdY2wHY+zj6L3yVZNt7maMXZXO/bOZGp80hpjnjClsih7D3zLGFmd6jBOCc55T/wH4PQBNAHYCWCq9vwjAzOi/5wPosfj75wA8k6Ux+gB8BGASgNkATgFwm/z9PwP4cvTfmwE8maFj+7cAnrX47HcAqrNwvuOeLwDu6LGcA8ATPca+DI7xDwAURf/9PQDfy/YxTOSYANgAYHP0318G8JMMHrMZABZH/z0ZwEmT8d0N4L1MX3PJnDMA9wL4BQAGYDmAfdkcb6L/5ZzFzjn/mHMeMHn/MOf8fPTlcQAljLFJmR2dOhbTMQK4H8BbnPMbnPPTALoA3ClvwBhjAD4L4P9G3/o/AL6YzvFK3/snAN5M93elgTsBdHHOP+GcjwB4C8qxzgic819xzseiL/cCuCVT3x2DRI7J/VCuL0C53tZEr4O0wzm/wDk/FP33AICPAdRm4rtt5n4Ar3GFvQAqGWMzsj2oeOScsCfIAwAOc85vWHz+59Fp0yuMsUw2WawFcFZ6fQ7Gi/lmAH2SUJhtkw6aAQQ5550Wn3MAv4q6uR7PwHhk4p2vRI5rplgHxYIzI5PHMJFjom4Tvd6uQrn+MkrUBbQIwD6Tjz/DGPuIMfYLxti8jA5MId45y6VrL2Gy0kGJMbYNwHSTj77FOX83zt/OgzId/gOLTV4C8B0oJ+w7UNwP6zI0RjNrSB92lMg2SZHgWB9EbGt9Bef8PGNsGoAOxtgJzvmvUxlXIuNDYufL9mOWzBjFMWSMfQvAGIAtFrtJ2zE0ISvXWrIwxsoB/AzAX3LO+3UfH4KSIj8YXVt5B0BjJseH+Ocs68dwImRF2Dnn90zk7xhjtwB4G8AjnPNTFvsOStv/CMB7GRzjOQB10utbAJzXbXMZynSuKGpFmW2TFPHGyhgrAvBHAJbE2Mf56P8vMcbehjLVt0WUEj2WMc5XIsc1JRI4hn8K4D4Aa3jU+Wqyj7QdQxMSOSZim3PRa2AKgN40jccAY6wYiqhv4Zz/i/5zWeg55+8zxn7AGKvmnGesRksC5yzt1146yBtXTDQS4f8B+AbnfE+M7WT/15cAHEv32CR+DuDL0WiE2VCsj/3yBlFR2AHgj6Nv/SmAmLMUG7gHwAnO+TmzDxljZYyxyeLfUGZDGTluCZ6v3wBojEYTeaAsBP48E+MDlOgTAH8F4Auc8+sW22T6GCZyTH4O5foClOvt36weSnYT9eX/I4CPOed/Z7HNdOHzZ4zdCUWPPs3E+KLfmcg5+zmAR6LRMcsBXOWcX8jUGCdMtldv9f9BubnPAbgBIAigPfr+twFcA3BE+m9a9LMfIxqdAuB1AEcB/BbKSZmRqTFGP/sWlGiFAIDPS++/j/GonjlQBL8LwE8BTErzMf0nAOt1780E8L40no+i/x2H4n7I1Pk2PV/y+KKv74USWXEqk+OLfncXFD+ruO4268eYjWNodkwAPA/lAQQAJdHrqyt6vc3J4DFbCcVl8VvpuN0LYL24FgH8efRYfQRlUfr3M3xeTc+ZbowMwIvRY3wUUhRcLv9HmacEQRAOI29cMQRBEERikLATBEE4DBJ2giAIh0HCThAE4TBI2AmCIBwGCTtBEITDIGEnCIJwGCTsBEEQDuP/A9ktoNe6LP1uAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "mixed4d\n",
      "(1000, 2)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "mixed4e\n",
      "(1000, 2)\n"
     ]
    },
    {
     "data": {
      "image/png": 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iXGojrngWSlNlc30Nbp9dqslq+eabRzQXqsJ8GwaGRmbWRouq+gpUSbS7jTpXOdbfVxVxB5DIOkImYGFnshYpIr4+P5zFjjGxRc1FzOLQQEjcXDMnK0KsRopfYb4drpmT4evz40rfDeTZbUq+uz8QVATM6AIyVgInwzVmF7G75t0E18zJikMlEMpJDwQFCMCnFs2ImpIYLRwkM3DU6Ktwsw0WdiYr2bijNcKR7/32j/DCo0tY3HVEK7oBgLcOnceTK+bBfeEqTvv6MBwUeHjxLGUWPKkgHz99b8TR0EZQsk7UoQmjC8hYLyIajUH6vNS5yiPEOx1WxE1tvojZ/60VJVn9PWRhZ7IOI1EHtLNHZgR1KGFSQT52H7mgzLiBUEz4p++dNrwoylxy9Ww+qMokeeLeuQBCbpDHVVWsNoTEbazzuNUXMYfdhmVVNxneyTW6vUrDDHWmS7LnfP3AOc17tGLBtJRex2jDws5kFY1ub1Tv7Gy+/c0k6lDC5voafPpHTZqUR6OLoroTkcNuiwjVBATw7kmfEtJQEwTQfrl/9F6QCfFm3ySbV292zidXzNPE2X8Sth7I1kkGZ8UwWUU069fKssKs/SFlG7JIR0IAznVfVzI51A6LL//+DJ5cMQ+rapxYVFGiOCs67Da4O6+aphqaWfUa2QSnk3iyb9SZLg67TfPak6F3cEgTjhkOCuxsjs8fPhPwjJ3JKpZXO/GLDzoiYpoE4B8evDUTQ8pJ1iyt1LSQs9sI+zw+vNfWhfUr52vSGweGAugdHFLK8NUVm9H8Yxx2W9RK0dcPnDMNlYw2cmYvM3j2eXzYf7o76Qye5dVOTaepbIdn7ExWUecqx8ZVVZptNgI2rqri2XoC1LnK8cKjS/D43ZW4r8ap2AsEggIv7mvHOyrBlgItZ9oA8L2HFmobThDgLHZozrGs6qaoxT5qX/QtDZ6EZ/GpzvzrXOWYXTZRCTENDAXw7O7jSR/rkwtnKH+rG3NkIzxjZ7IOmbcsb3U5zTE5ZNx9S4MH73hGMjv0k85lVTcBgKGJl94qV92yzkjYjDJ0BoYCSnl/PLP4dObK6+13O7oHNOZl8dLo9mLfh5cBhC5yT66Yl9XfSRZ2JitJxuebGaHR7cXze9tw4cp1XBscNm38bKfQhVO/2PjNN4/gmd/YcdvsKZganqkbLVzqrXr1IRB/IAibynNdzuLNwiJ6jxc5nmQXP/WdlwCteVm8qN+fgDA+bjaRllAMEX2SiDxE1E5E30rHMRmGSY5GtxcbXj2IY51X0X19SOPyWDG5QFkctdsI6++riuhQBADd/UPo7BnE20cvYvsHHUqbOfXCpVHbPSn0a5ZW4oVHl2BVjRM2fR87GC+8Nrq9eEkn6kBqufLLq53Quw+ozcsSOU46F2NHm5SFnYjsAF4A8CkALgCPEJEr1eMyDJMcTW0+02bLDy+ZpcTef/zYHUrhjmz7VmrQJQkwFuKdzR2atnvP721TMm02vXYIADC7bKJmLFJwjMR6Z7N2cZIQau6RimVBnascP/lCLeaUTUSRw44HFs1IOAwjj7P1kcVYVeNEUAjs8/iwbnsLNu5oTWpco006QjF3AmgXQpwGACJ6HcBDANxpODbDMAkSLYOjd3DIMMylLugxIp5Z85W+GxG543o73yfunYvewaGIHPRGtxdHzvVojrewokTTMCNZ0hXWq3OVY2dzh3KhEgg1HNnS4MloGzwj0iHsFQDUhsXnASxNw3EZhkmCOlc5Vi5wRqQqRhNnfal+2cR8FDpGYuxGxUDqlEqH3YaHl8xSLg5qq99YBUUypKMukMqzETatXpDK25B2Gt1efHDqo4jtrzV3WFLYjfwzI+YKRLQOwDoAmDNnThpOyzCMGepWd9FK7yX6mfUPPnebZnHUCJlSqRZttQujPFe0GXOj24vnGj6MqHpdXj01qxbPjS4+kmgNtTNFOoT9PIDZqr9nAbig30kIsQ3ANiDUzDoN52WYCGSqHDC+0yTjLb1vdHuxde9JdPf7seqWaZrZeTx9TPWinUjYw8ypMRtzxNXrCXrmTi0a49HEJh3C/kcA1UQ0F0AngM8DWJOG4zJM3Gxp8GDbu6cwpAosj3c3yFgiK7NnZMy4s+ciHlg0Q9M9SB0z39ncETXVUR4z3i5KRk6NNsSfI57IuZJB7aXzfntkCAYIFc9lW8gISIOwCyGGiejLABoA2AG8LIRIrryLYZLAqB0cwG6QsTDKnnn76EUlje9dz2Xd/l0YDgq80XIeT9w7V4mny9k8YFzkZIZRMVMQ8eWIN7q9+NIvWhAUwKv7O/CTL9Sm9XNW303YVXn4EgJwq0mrvWwgLQVKQoi3AbydjmMxTKLscV8y3J5nI3aDjMLyaie2fxBpZKUuLlIjLwIDQwHscV+KyICR/1ZviyV6d80rQ1ffDXgu9cEfCMads/73vzysZP0ERejvPz1Tb7hvMjP7nc0dmoIku40QCIq41iuyAa48ZXKe+13T4fFGztizbQEu26hzleOBRTMibJJP+/ojRN0GIC9s7VuYb8f9ruk4263NgAGgWYA1E2i9ZUBhvh1PrphnmAZp9txrg8Oa7dcGh5UCKv3+idxFyOeoQy8Ouy3u8WULLOxMxtm4oxV7T3iRbyd88Z65CaeOyf3VMXYzLxNGy4uPLonwbu/Q9UclAjbcVxWR8WKUAWO0YKuOVbsvXI24GxgYCsB94Spml02MOtZovV0BGN4hJOPL3tTm04xvWdVNWZfOGAsW9nHGaC84JYq6W9KNYSix8mTEfXN9Tda9vlxg0+oF+NL2Fpgl7d23wKmpUJUYLc7qt0VLE5TYCGGx90WdVUfr7Wp2h6BP44wnzKN/Ti5OEFjYxxFGt6UAMiqERoZMe9yXkp4hsXlY4tS5yuGqmIxjnVeVbTaEFjKTETb1xTVamqByLoLGWtdsVm3UFs81c3LUEEm8aZ+pPifbYGG3KI1uL57dfRxdfX6srJmGF8OFJOrb0q17T6L9cr/SFGHG5AnovRFARWlBXL0s0zE7vqfKGRHjlV3mmbHjq6urlZl1MjFldbhFnS1TNS12jvdwEEprvmiz6mQFN5mLvdx/Z3MHdjZ3ZP1iqR4SYuxrhWpra0VLS8uYn3e80Oj2Yt32Fk35b2VZIR68rULbjR4wvf22EXDrzBJMLZ5gOCtSz/4L8+0pGTWlGmNn0sOWBg/2uC/hftf0hD6DaKmBq2qchhk2eipKC7CgfFLWCKg+hOSw27KiJoKIDgohamPtxzN2C/Ls7uMRng4d3QN4+fdnUDO9WFkoCyKUj2t0aQ8KKPtJzxF1/DOdzYKTcdtj0ovaBOxs95mEGjXrvcplaqAM46xZWomte0/iWOc1CIQmDXqDss6eQXT3D0WEfUZjzSSeY+oXUHOtJoKF3WJsafCgo3vA8DH54yvMtyv/Fog+c9c/X365k1mUMoMXPDNPKhfqWA6OjW4vPJf6FFGXGTY7mztw8lIvOq8OKueV1a1dfX68d/Iy+m6ExpRKFyU18aY/dvX5NX/bCDlVE8HCbjHMinUkxy9cw4b7qrDHfQkebx+AkKhXTC5QfmBmqAU81QUm6VHS2TOIawNDSkWj+ocmQwPzp00ydRhk0kMiF2qzrknqFnpq4zD1AmpQAO4LV7G5vibCjybPRnjnpA9G0WEjS4NkiOcC1uj2ouGYdt0nKICte08CQE58BznGbjHMyuvVrKpxYs3SSk2MfNUt0yIWMSVlRfl48OMz0yaseo8SNY/fXYnvPbTQ8HWkGstnohPPnVOstRX14zJzpavvhiZPflWNU+OzLi/y6n30EIB81QKrma97PK8x1trQ07uOGVbkynFsezy99gWJwDH2ccrm+hqc6erHb49eNO1z6evza2ZZMpPBjIrSwpREXe+4aNbhRz1TNLrzSDWWz0RHzr63NHjwXMOHhouosWa86sdlf9M8XW86X58/okr0eBRRB4CpxQ74wuERfXPsBdMnwVnsiGvhNZ47zeXVTrx+4Jzhgq8A8L93u7P+O5iWnqdM5ml0e/H0rmNodHvx4qNLsO3xWiyqKDHc98OL17BxRyuea/gQkwry0Ts4ZFr4AYQWUWXPy2TG9dSOVuzz+LDP48OGVw+i9WxPRB9KAvDEvXOVH4xRymOqsXwmNvJOyePtwwv72rGlwaN5XN370+jz0PdOBRBxET/WeVXzfWpq88Vc45k+uUA5rt1GmubYxzqvYp/Hp/RdlTS6vVj7ygGsfeWAZnuda6RvqxF1rnIsq7rJdCwXeq6bPpYt8IzdApgtCMnZ11uHzuOjPj8Gh0M/n+GgUMIuHm87Hlg0Q1lQNcpYAJKfLeuzC4aDAsc6r8Jht8FhJ/T5RxZx1a5+cqaojrFPKshXYrf6OHyiKXqMMfo7JX2xWKwZr3xc7QUjm2frbQTUC/HqGTIB+NSiGdjj9irbPJf6lNx6da68Gn8gqMThJxXka1J7jSyco3n3u2ZOjuhAJcmzZf98mIXdAkS7PZal9mtfOWD6RT11uVf5sZ7rvm64X7KzZbPbWn8giGVVTqXLj9HxN9fXKNkTh872Kw6AO5rPov7W6Tje2aNkAHm87dh95AL+4UFX1t8mZzN6QzWjO6dYBT/ycXXMHkCE8Zd6If6FR5dEiKz6O+sPBLHHfQlfr79FOfdbredx6dqgMnvPs5FiLazHHwhi8xuH8ehdN2NzfQ22NHjw0jvtyiRGL/zRrIOry4tNH8sWePHUAsSzIKQuuNAXkTy1qkqZlWmKTWyE+lunp5yR0uj24pnfHENnjzbrZlFFCVYsmGa6CBaPz4iebCkkyWVGMxsp3gVafRWrRC6cyu0Ou02JsesXac2oLCvE2e6BiDUouXAvx2BkOGYjpN37PRHiXTxlYbcIifxgllc7cfhcj2kIYzTyyrc0eJQFLzVSiIFIz5po2QnRUP9AmeRIZ2VxKud94t65mtRcAKgpL9b8LT9vo7vSitIC9FwfQr/ffA0JMJ4QyH6s6nPpM3rGGs6KGWfE44eh3qfOVW4ak063kZasagyIyEpXGReVt+ivHzin/MCiZSeYkWuFJNlKOiuLUzlv7+AQvl5/i0bszbzgQxlXI6EYh92GZz6zEIfP9URNAS4ryscPPnub4XoBAM25c8XpkYWdGXXUP1Z9pavDbkNX3w1FvP2BIJ7f26bM3tWxV9fMycqCWJ6N8LEZkwAAJy72YjgoYEOoqpHDMKmTzsriVM9rtGBr5AVf5yrHS4/dgZ3NHfD1+eEsdgAYWYj/WdMp3BjW3jLaAENRB0buXJPNmc8kHIphRgV92Ec9YyotzEPRhDyUFTmwafUC7Gzu0NxCqy1jjQpgUmmgzMRPpt7XVM9rFkbSh2oIwEbV+lI8x8g0HIphkka9eJVqdZ+RdWvPwDB6Bobh6/VjZ3MHXDMnK6EYdbqlUQjAKEzEHuyjg/59TVRwkxXoVD9PszDSmqWVI98zABtMRD3aMRIhkxOOlISdiLYA+DQAP4BTANYKIXrSMTAmMxhlAyRqwKT/UXT3+w33k5WJ77d/FPaCH0bxhHxcujqYUGNjZvRRZyip10Gi7Z9or9FEx2MmmmZhJJlWGY/YphqKUr/+7R904I7KKXhzwz2Jv9AkSXXG3gjg20KIYSL6AYBvA/hm6sNiMoVR+7FU3f4eXjwLL+5rN7U48AeCSj56d/8Q8myk+NnwTDw7UBt5+QNBPPObYwDMDbGMmrqkki6rFuNYFw29XYa6qE19NxDtzjRVkzv97+hgxxVs3NE6ZhbVKQm7EOJ3qj/3A/hcasNhMo1alCUOuw3nuq8bdoE3wmyx6+9/eTiiu7wRw0GB2WUTWdSzmM6eQTy1o9V05j6pIF/z99HOa9jS4Em4gYc6Y0qKeDxhEn1Gi/4CEM+daSohoeXVzohU3d8dNzbZGw3SWRv7BIDfmj1IROuIqIWIWnw+4wrI8cSWBg+WfX8vPv2jJmxp8Cg+L5lGivLjd1fiqVVVWFRRguFwyOSpHa0RvhvRjqP246hzleNPz9Tjjsopmv0qywojTKIcdhsmFeRnzXvChFIJ9Z+TTFU1wn3hasS2tw6dj/t8Unj3eUYsKaSIx/KrkRhdAIwekwwMBfBcw4dodHs13kvxjle9f51JdiNzAAAZVElEQVSrHCUF2nnzcBAR3jujRcysGCLaA8CoCeV3hRC7wvt8F0AtgP8i4kizGe9ZMWbWutm0+g6EvqzrXz2IgK5EOxXbVCDS30XOzGSKmjqtkStJs4dP/6gporJzYcVk7P7KvZptZhXDeTbCS4/dEddnaVacJqukU7UYNqssBaDxtonnN2l2HqP3q6a8GA1fWxnz9ZuRtqwYIcT9MU70RQAPAlgdj6gzwL/+wdgiN13NBNJFU5svQtSBsG3qu6cQCAq8fuAcllXdlFA8XPrXSPS3vGtfOaCJ5+5s7sj4e8EAU4snRGz78OK1iBCd3vhNMhwUGpMuoz668rtvFBIERjxcjGLl+t9MtDh5nascT9w713CCZWZWZoZZaMjo/RqrRu2pZsV8EqHF0pVCiOz3sswSrpuUNzvstnA80TcqmQSJov5x2QiwEWE4KEJeM2HBV2e2jNbM+rSvD0/vOpYVF7vxzJqllXjXo7XYHQ6KCOHTx9fV6E265PcciIyHGwlvV9jLXW0uJp+3Y38H6hfO0PjbRIuTmxl96R1Oo70ewDyDRl8JayPg9tmlUY+VLlIqUCKidgATAHwU3rRfCLE+1vPGeyim+jtvY0g3E863E+6tmqopoFhV48TssommBlljMbPX/4jMzJmAkKnX4jlTNNkLyYzRrMNStNviLQ0evNV6Hna7DfOdRZxRM0row4j6UNmWBo9yNxcvj98dKtNXh17kd18fjqkoLYCv16+E6ZZV3WTqRhpPCOVLv2jRiHhJQV7EAn9pYZ7iChntWEbfdX1RVJHDjr9ZNjdpi+kxKVASQlSl8vzxSKPbGyHqAHBv1VSsWVqp2NhGm72Pdo6wGv2MR/779tmleGbXMU2f1OMXruFo5zW80XJe48CX6BhDPjFTI36wZrfFG3e0atr6ne2+Pqp3EMwI0ycXKP9udHsjjN70QjwcDGqE1EbAue7rKHTkaawm3vH4MM9ZBCJoeqD6h4OaMN1p34hBl5p4Qih1rnL85Au1eHb3cXT1+bGyZhpOXe7FtUHtMXsGhpWLWTz+SmqRVxdFAUC/PxDzWOmAK0/HGPXKvIQw4kFt5Iuu/5JmyqBJjTyfXCSzQVsxusd9KaUx6n8QgHEGRKPbi98a9Gr1B4LcRm8U0DfiONt9Heu2t2BKkQMVpQUaUbfbCM98JuSyqbaXkOJvQyi8ZzTjFgBO+fojtsv2eBJZ/6An3qIi/cRlS4NH40evRt90xAijSdeEfFvEmsNbh86zsI82Y1n6a9QtZuOqEeMq+UVrdHtNm1BkyqBJj7qSTx2eiebAlwwEwJFnQ/EEu5Jep77IGd30O+w2rlodBfSNOICQCHf3+9Hd70eebWQdZv3K+Zrvtfy/NPAya+qSKjXlxZqGHImg7txVXJCPgx1XlMfmT5uk/NuoiQgAdPXd0Exont/bhl6D2g196mi6GfcmYPo425yyifjHcBee0RJ8o5ZciZpbZaPxlVGFYLJjjNUpfkpRPmaWTsTKBU7lgkIAbip2YFHFZI6xjyL60JeaitICrP5YeVyfebSUw2RJdyMM9WuVjWfOdffjWOe1kFOpKqnAiLKifHT3Ry7SJuvrzo024mTFP+3D2W5tQo+NQvav6hnoqltC8bfR6K2ZrU5ymSTe7kl2AlwzSzC1eAKL+RgRrc3ioooSbFq9IO7PQU5yZPZIno0ghEBAhD7bFQucKHTk4T+OXTTsxZtnIwSCQrGDjmbslQzJNnuRLKooichlTySfXw+7O8bJR303IrYFRSgGpr6lUjd/BtK38CG7tGQ6Zp5t1LnKTTMe1AREqFw9z0Y4cr4HW/cWJiQsTGJs3NFq+JkU5NkwHBQ42nkNm147FPfkRB161Gdf6e9edzZ3oKvvBqYWT4Br5mQlD95o/3SxvNqJHc1nE8rykTjsNmxavQCHz/XgrUPnkWcjzHMWj8kEZNzP2D/70h80cTTJoooStF/uN7xNrJhcgPe/vTrlcxvdio7HGbuZGVMyPU+B1GZEjDGNbi+e3e1GR7dxuYo9PHOWWKk9oVlbR8kDi2ZgwB+Ko7tmTlbsFEZDwHnGHie3ziwxFPYVC6Zh0+rQIs+7Hp/mCz3FoKIsGfR+Faks+uQqscyY1B2UCh15OHW5F8UF+bjUM4A8uw0Xwxa/aoyKZnIBswW50RAIva1DrH1feqfdMBQiCcjCNRF/RkqusLm+RlnwnVSQD/eFqzjt68NwUODhxbNGNbslWca9sJtVlb38+zPY+shifO+hhZqCmTwb4aurq1M6p/q20mG3KZ4Uoynq2bjYCgBb956MahMcy2FvS4MHrzV3oPv6yAJVno1yTljU37HtH3Roqh/TnZOvLjKKFVpsdHvx0r52GN0zOYsduDowrHx/c7GFXLyk4vSYCca9sJuVFet9W1567I6U23XJK740uAIwJt7j0QqaEpm5GR030fdE3zJPv7AExD/jk02yB4YCyLMRSgrzUFGamzH2rXtPajIr1LPjdPvlvHZAuxholFMtP6dDZ68YivoDi2bgxUeXZO2EYbwz7oXdbMZuVPmZbMwwWlrXWHiPmxU0JTJzA7QXJ/eFqxE+2dFc9vQXtdcPnINzkkOzX1lRPh78+My4RUL9uoaDAg9+fGbOxnXNukxJmtq64vbDj0aj24sruvS7siKH8pi8k5QNwvXZ1mVF+Zrmz7k2kx0vjGthb3R78dP3TkdsX1QRSp8zq/xsdHvx/N42XOi5HtcM0cj7WTIWhTRmBU1vtWr9sd9qNa+Gi3Zxkj7WQGRHHXV8Vl0e7g8EI4o0HrmzMqG7hmwp1EoHDy+eZeg0KFE7I6aSCaIv6CIAm1YvMI2jC4x8bg67TSPqTPYyroXdzF5UGlkZVX7qTZC6+4ew4dWDUbMwllc7sWN/R4SHxoLySXGHYOTFxHPxGgJCYPGc+HsomtmXTimeoPF6ibYovLO5I2ohicfbh6d2tOLJFfPQOzikzOrf8YwIiT4Ba56zGA/eVpF0KCiaLWuuIV/7awfO4kq/37CaVk40Xv2gAwIh0d3ZfBYfmzEpah6/+o7pXPd1pTqUAMwum4hndx83Lc0HgIUzteZuTPYzrtMdjVwE1W51RpWUejc4Saz0LrXrXaIpjY1uL9b/oiUi3SrVBrn6ReEvrZxvuPhl5rZohNrIKRrcQMMctRD/8o9nI/xRzDB6T5NNGZWku5KTSQ1Od4wTGxGA0OxlYbhqDoDi/60W66Y2n2nKl1EYQH1h0KdMNbX5cPhcT1xZBDubOwxzaI+e70nkpUZQ5ypXFoXVXi/6mHlTmy8uUQfiE/Uihx3/8vnxlaufCDJuvaXBg4/iFHXA2PhM3YQ6UewErL+vij+nHGRcC7s6FCONjLbuPQnPpT7DRUG9gZfEyNAnWiZKrCa68bJoVuqm/VJEnt51zLT61ex1GxG6TEbnxnByQjOeMGufGI10rdfYCFi5YHQztZjRJZ3NrHOO5dVOpb8hEOq8frTzWkTzXIksmFlV40RZ0Ug2jSyIUWPWSNesia6Rna9kzdJKzTgJqYdh9ERrEKx+3c5ibSaL/pImjZH0TMgbGb/R+xUviTYZzlX09rhq5juLlPc4z0ZYVFGCVTVOw9CW+ruTZyMsrJhs6ixYPMGORRUl+MkXavHK2jtZ1HOYcTFj39Lgwb/+4QwGhwKYWToRn75tprLAFw2jTAu1t4XauEu/n1nGhtHsN1ZGh9oed7QWsGItRKrT2mS3oinFEzTuipKgCDU5PnHhqlKJqG68IV9vojnQY9lgJNPo7XEfWKRt+Rbve2f03dGnrQKjU93KZA7LL55Gu6WVJdB6QpWLU2N+2WP9uMyseOVilv48uVrsIfOfZV67XBwGECEoMk9agHDyUm/MTvDyPfnN4U70DGh9ra3kR2JEKsVjjDXhxdMw+lxtNQERaV5kA/CllfPj+iHFKs4welwd11cXJ+XybNTIoU9dwKJG3xUJMHe0jJY7Px4aaWyur2FBZ5LC0jH2RrcXl3sjbXklhfl2rF85HzXlxcq2IMxtBtKBWSzbLCafS9S5yvG9hxZGpNvJmLhZ3YBZKCpaYdeyqpty5sLHMGNNWoSdiL5ORIKIpqbjeOlAhjyMGkdLf5atjyzG5voafL3+FtOFw1TOb7TIJ2PZj99dGZFxk+4xjCbxLGLKGff2Dzqw6bVDmFSQr1kEVn8ORiKtfk/0rFlamfqLYBiLknIohohmA6gDcDb14aQPs9mhUYeXdFUwylnp8QvXFCtgo7CKWQjnrnllALJ/IUsfNlp1yzQcOXsFeXYb5jmLlPHr70J6B4c0NryxXqf6c5Ex9sJ8G7Y+woVNDBONdMTYfwjgGwB2peFYaWNSQX5ETrV0pDPCTGzNFjSNqlKN4sFG8WP9opg+wyae2WgmFlrluB15NsPuUgDQ0X1dsZk1ygxK1DRK7m/lRVKGSTcpCTsRfQZApxDiCFH0rttEtA7AOgCYM2dOKqeNiTT3kqJOBGy8L/FeiGYLmmp7gDdazuOJe+firdbzpvFgdVjFyFGxd3AoodZ4mVho1WcXSb8RI2QF5PceWmgZLxeGySViCjsR7QEw3eCh7wL4DoC/jOdEQohtALYBoXTHBMaYMPowjBDJLYjqQwkyhKBukzUwFIhaIXhH5RTNQuj/e/+M5vGfvNuO0okOxWMlnvi6mQ3vaPLzJq0LJlGo0/p7J30RKaPqjBW2dWWYsSemsAsh7jfaTkSLAMwFIGfrswC0EtGdQgjzsrkxQF8ElGxqnP4477d/BMA4911NZdlEDAeDuDEcxKGzV3Cw4wpeP3AOQSEiZrnDQaAr7AdiI+CJe+capv2pbYJXLJiGwnw7BoYCsJO5p3w60a9XBMKpmur3oniCHZ+4uSzr1wgYxuokHYoRQhwFME3+TUR/BlArhOhKw7hSQlbbJdMzUh+7XlZ1k2KXKsVNiqoRDrsND942U9MlSf3caAQN7iz0zord/UM4fuEaPrlwBhqOX0IgKPDy78/g9tmloyqmi+dM0fSGlTau6hj6D/977uTeM4yVsWyBUrwhAH0DYX3ses3SSo0v+5qllViztDLCEVF6W//jgy7TjJxYGN1ZGDkrBgVw5NwVpbBqLMIxb264B5996Q84er4Hi2aVKj41HENnmOwjbcIuhLg5XccaK/SLkHfNK4uIXZstAMr/n+nqx9tHL0IA8IWLoYwycqIRzU1vebUTO5vPRoh7WZED3f1DY9o9yMh0jGPoDJN95OSMXXqOAKnlfOsXIYHQrNkfCMa1ALilwaNJ9RsYCsTsRmPEY3eZe55Iz/Rnd7vR0X1dGaP0jefZMsMwenJO2PUdYZrauiI6/8Sb462PEbtmTlYWSOMZx4/fPaXZRoChqNtI23W+sqwQF6/eUAywYs22E/FiYRiGySlhb3R78cyuY5r49XBQKOmGrx84hydXzDPtBKRHX3Gqjo0bdaNR09Tm05iHAcCUonx090emVW64rwoAIoqSEp1tc9iDYZh4yBlhj6fvpj8QxFuHzieU460XSzmDd9htONd9HY1ur6mPidzXbiOsXzkfADQ57cUT7PjiPXOVwih1gRSLNMMwo0XOCPvO5o64+m76h4OKFW+ii4pyBi+9xfd5fNh/uttw1h/NX4Y9tBmGySQ5I+zx0tXnD7VnAzB/WrHpfmahEGle5Q+EctejzfqNZt3soc0wTKbJGT92fd9PM+ScPgjgWOdVbHrtUIS1rN5OVv94rlnoMgzDqMmZGbu6d2NXnx+/DeeOqyEA+eF0RYl6xi1n6YfOXokah0+XjS/DMEwmyBlhByIbKqsXKm0Uyj65fXZpRP9N2TjZyFbXzEeGFzcZhslVckrY1ew+0qn5e/aUQiW2rc/5BoDnGj409HfhFmsMw1iNnBT2RrcXZ3WFQPqMGXVRj1lD5HibWjAMw+QSOSnsTW2+iPj6bbOnmO5rJOo15cX4ev0tCXVNYhiGyQVyJitGjZH/+NRih+G+XX1+6Hs7Oey2qKIeLWOGYRgm28lJYdd7ltsIhgug0qRLaZEXx7GNuhMxDMPkEjkp7MurnZqcdlu432qj24undx1TZtl73NpGTlLgpQ+M2bE5h51hmFyGhBjV9qOG1NbWipaWlpSOsfaVA0pnIwBYWDEZJy5cRUCEQi3Lqm5CoSNPY6srKcy3Y+sjiwEY295yjJ1hmGyEiA4KIWpj7ZeTi6cAUOjQDv1Y51Xl3/5AEPs8PhTm23FH5UhLNyn4MhNG2v++fuAcXnh0icYKlwWdYZhcJWeF/dTl3pj7DAwFcOvMEqxfOT9iBv7pHzVpLHp3NnewmDMMYwlyVtjnT5sEj7fP8DHZ2ELGyNUz8Ea3F1v3nsTRzmtjOVyGYZgxI2VhJ6KvAPgygGEA/y6E+EbKo4oDs/RGINQ/dHbZRHT1+fHMb47h2d3HManQAYLAiYu9EcVMNoALlRiGsQwpCTsRrQLwEICPCyFuENG09AwrNsurnXh1fweMLNoLHXmYVJCP7R90qLYa9yElABtWVXEYhmEYy5DqjH0DgO8LIW4AgBDicupDio86Vzk23FeFl/a1I6h7zCgTxggbQqLO/ukMw1iJVIV9AYDlRPR/AAwC+LoQ4o+pDys+NtfX4PbZpXh2txsd3dfjek6ejfCxGZMwtXgC1iyt5Jk6wzCWI6awE9EeANMNHvpu+PlTANwF4BMAfklE84RBcjwRrQOwDgDmzJmTypgjOH8ltqiXFeXjtlmlLOYMw1iemMIuhLjf7DEi2gDg12EhP0BEQQBTAUSUdQohtgHYBoQKlJIesY6mNh8CMY5WmG/HDz57Gws6wzDjglQtBd4C8BcAQEQLADgAdKU6qERQWwDomV4yAY/fXWnYjJphGMaqpBpjfxnAy0R0DIAfwBeNwjCjib6NHWBsE8AwDDNeyFmvGIZhmPFGvF4xOenuyDAMw5jDws4wDGMxWNgZhmEsBgs7wzCMxWBhZxiGsRgs7AzDMBYjI+mOROQD0BFzRy1TMcbFTwnAY0sOHlvyZPP4eGzJEc/YKoUQMRsxZ0TYk4GIWuLJ38wEPLbk4LElTzaPj8eWHOkcG4diGIZhLAYLO8MwjMXIJWHflukBRIHHlhw8tuTJ5vHx2JIjbWPLmRg7wzAMEx+5NGNnGIZh4iCrhZ2I/isRHSeiIBHV6h77NhG1E5GHiOozNUbVeG4nov1EdJiIWojozkyPSQ0RfSX8Xh0non/K9Hj0ENHXiUgQ0dRMj0VCRFuI6EMi+hMR/RsRlWbBmD4Z/hzbiehbmR6PhIhmE9E+IjoR/o59NdNj0kNEdiI6RES7Mz0WPURUSkS/Cn/fThDR3SkdUAiRtf8B+BiAGgDvAKhVbXcBOAJgAoC5AE4BsGd4rL8D8Knwvx8A8E6m3z/V2FYB2ANgQvjvaZkek258swE0IFTbMDXT41GN6y8B5IX//QMAP8jweOzh7/o8hJraHAHgyvT7FB7bDABLwv+eBOBktoxNNcb/CWAngN2ZHovB2P4VwN+G/+0AUJrK8bJ6xi6EOCGE8Bg89BCA14UQN4QQZwC0A8j0DFkAKAn/ezKACxkci54NAL4vhLgBAEKIyxkej54fAvgGQu9h1iCE+J0QYjj8534AszI5HoS+4+1CiNNCCD+A1xH6LWQcIcRFIURr+N+9AE4AqMjsqEYgolkA/grAzzI9Fj1EVAJgBYCfA4AQwi+E6EnlmFkt7FGoAHBO9fd5ZP5L9HcAthDROQDPAfh2hsejZgGA5UTUTETvEtEnMj0gCRF9BkCnEOJIpscSgycA/DbDY8jG730ERHQzgMUAmjM7Eg3/gtDkIZjpgRgwD6E+0a+EQ0U/I6KiVA6Yamu8lCGiPQCmGzz0XSHELrOnGWwb9dletLECWA3ga0KIN4novyF09TVtBD7GY8sDMAXAXQA+AeCXRDRPhO/7Mjy27yAU8sgI8Xz/iOi7AIYB7BjLsRmQke99IhBRMYA3AfydEOJapscDAET0IIDLQoiDRHRfpsdjQB6AJQC+IoRoJqLnAXwLwD+mcsCMIoRIRvzOIxSXlczCGIQ+oo2ViLYDkAtGb2CMb/lijG0DgF+HhfwAEQUR8qXwZXJsRLQIoTWSI0QEhD7HViK6UwhxKZNjkxDRFwE8CGD1WF0Io5CR7328EFE+QqK+Qwjx60yPR8UyAJ8hogcAFAAoIaJXhRCPZXhckvMAzgsh5B3OrxAS9qTJ1VDMbwB8nogmENFcANUADmR4TBcArAz/+y8AtGVwLHreQmhMIKIFCC3OZNwISQhxVAgxTQhxsxDiZoS+4EvGStRjQUSfBPBNAJ8RQlzP9HgA/BFANRHNJSIHgM8j9FvIOBS6Mv8cwAkhxD9nejxqhBDfFkLMCn/HPg/gP7NI1BH+vp8joprwptUA3KkcM+Mz9mgQ0V8D+BEAJ4B/J6LDQoh6IcRxIvolQi9+GMBTQohAJscK4EkAzxNRHoBBAOsyPB41LwN4mYiOAfAD+GIWzD5zgf+LUOZVY/iOYr8QYn2mBiOEGCaiLyOUQWQH8LIQ4nimxqNjGYAvADhKRIfD274jhHg7g2PKJb4CYEf4gn0awNpUDsaVpwzDMBYjV0MxDMMwjAks7AzDMBaDhZ1hGMZisLAzDMNYDBZ2hmEYi8HCzjAMYzFY2BmGYSwGCzvDMIzF+P9Ever4BOfnEQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "mixed5a\n",
      "(1000, 2)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "mixed5b\n",
      "(1000, 2)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "embeddings = []\n",
    "n_neighbors = 15\n",
    "min_dist = 0.1\n",
    "random_state = 6510\n",
    "transform_seed = 6510\n",
    "\n",
    "embed_str_characters_to_keep = 6\n",
    "\n",
    "\n",
    "for i, layer in enumerate(layers):\n",
    "    print(layer)\n",
    "    \n",
    "    A = np.loadtxt('data/A-matrices/' + 'A-' + str(A_prob_threshold) + '-' + layer + '.csv', delimiter=',', dtype=int)\n",
    "    \n",
    "    if layer == 'mixed3a':\n",
    "        embedding = umap.UMAP(\n",
    "#             init='random',\n",
    "            n_components=2,\n",
    "            metric='cosine',\n",
    "            n_neighbors=n_neighbors,\n",
    "            min_dist=min_dist,\n",
    "            random_state=random_state,\n",
    "            transform_seed=transform_seed\n",
    "        ).fit_transform(A)\n",
    "    else:\n",
    "        embedding = umap.UMAP(\n",
    "            init=embeddings[i-1],\n",
    "            n_components=2,\n",
    "            metric='cosine',\n",
    "            n_neighbors=n_neighbors,\n",
    "            min_dist=min_dist,\n",
    "            random_state=random_state,\n",
    "            transform_seed=transform_seed\n",
    "        ).fit_transform(A)\n",
    "    \n",
    "    print(embedding.shape)\n",
    "    embeddings.append(embedding)\n",
    "    \n",
    "    plt.figure()\n",
    "    plt.scatter(x=embedding[:,0], y=embedding[:,1], s=10)\n",
    "    plt.show()\n",
    "    \n",
    "    for c in range(A.shape[0]):\n",
    "        point = embedding[int(imagenet_dict_by_id[str(c+1)]['target_class'])]\n",
    "        imagenet_dict_by_id[str(c+1)]['embed'][layer] = {'x':float(str(float(point[0]))[:embed_str_characters_to_keep]), 'y':float(str(float(point[1]))[:embed_str_characters_to_keep])}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "# add accuracies\n",
    "with open('data/A-matrices/accuracies.json') as f:\n",
    "    accuracies = json.load(f)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "# accuracies"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "acc_str_characters_to_keep = 4\n",
    "for c in accuracies:\n",
    "    for img in accuracies[c]:\n",
    "#         imagenet_dict_by_id[imagenet_dict_by_synset[c]['label']]['accs'].append(img['argmaxVal'])\n",
    "        imagenet_dict_by_id[imagenet_dict_by_synset[c]['label']]['accs'].append(str(100*img['argmaxVal'])[0:acc_str_characters_to_keep])\n",
    "        if int(imagenet_dict_by_synset[c]['label']) == int(img['argmax']):\n",
    "            imagenet_dict_by_id[imagenet_dict_by_synset[c]['label']]['topOneAccCount'] += 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "# add instance count\n",
    "for c in imagenet_dict_by_id:\n",
    "    imagenet_dict_by_id[c]['numOfInstances'] = len(imagenet_dict_by_id[c]['accs'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "# add accuracy\n",
    "for c in imagenet_dict_by_id:\n",
    "    imagenet_dict_by_id[c]['topOneAcc'] = 1.0*imagenet_dict_by_id[c]['topOneAccCount']/imagenet_dict_by_id[c]['numOfInstances']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "imagenet_to_save = []\n",
    "for c in imagenet_dict_by_id:\n",
    "    imagenet_to_save.append(imagenet_dict_by_id[c])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "with open('data/imagenet.json', 'w') as outfile:\n",
    "    json.dump(imagenet_to_save, outfile, separators=(',', ':'))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "testing file size by removing top channels"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "# for c in imagenet_to_save:\n",
    "#     del c['topChannels']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "# with open('data/imagenet-no-topchannels.json', 'w') as outfile:\n",
    "#     json.dump(imagenet_to_save, outfile)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python (tensorflow)",
   "language": "python",
   "name": "tensorflow"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.8"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
